Comprehensive Analysis of Magneto‐Micropolar Fluid Flow Transport Across a Stretching Sheet: Effects of Porosity and Heat Source/Sink

ABSTRACT The purpose of the present study is to characterize the thermal performance of micropolar fluid flows on a vertically elongated permeable sheet in the presence of a heat source/sink. The additional physical aspects include a heat source/sink and the fluid flow across a permeable medium. The mathematical problem is governed by partial differential equations is transformed into a system of nonlinear ordinary differential equations using similarity transformations. The regulating transformed standard ordinary differential equations are subsequently simulated utilizing the Runge‐Kutta fourth order method, accompanied by the shooting technique to evaluate numerical findings of dependent quantities of physical importance through MATLAB. The impact of varied parameters on the fluid momentum, angular momentum, and energy was analyzed and shown graphically. The results demonstrate that the porosity of the medium plays a critical role in regulating both flow resistance and heat transfer: higher porosity enhances permeability, leading to faster fluid motion and improved thermal transport, while low porosity increases drag and suppresses heat transfer. The applied magnetic field introduces Lorentz forces that dampen velocity profiles and increase fluid temperature through Joule heating, thereby thickening the thermal boundary layer. Increasing the micropolar parameter enhances coupling between microrotation and linear motion, resulting in higher velocity and microrotation profiles. The study further provides streamlined and isothermal plots to illustrate the interplay of magnetic and porous effects. These findings underline the novelty of combining porosity, slip, and heat source/sink effects in micropolar fluid dynamics and contribute to optimized designs for thermal management in porous and magnetized environments.